期刊文献+

高维双向加细方程的L_1-解的刻画

Characterization of the-solutions of Multi-dimensional Two-direction Refinement Equation
下载PDF
导出
摘要 研究了高维双向加细方程的-解,利用傅里叶方法与迭代函数系刻画了-解的基本性质,证明了-解在其紧支撑集上是符号恒定的,完善了双向小波理论。 In this paper, we study the - solutions multi - dimensional two characterize the basic properties of -solutions by Fourier transform method ver, we prove that any - solutions of the two - direction refinement equation - direction refinement equation. We and iterated function systems. Moreo- are constant sign on its support. The theory of two - direction wavelet is developed.
作者 延卫军
出处 《榆林学院学报》 2015年第2期22-25,36,共5页 Journal of Yulin University
基金 榆林学院高层次人才科研启动基金(11GK63)
关键词 高维双向加细方程 -解 傅里叶方法 迭代函数系 muhi - dimensional two - direction refinement equation - solutions Fourier transform method iterated function systems
  • 相关文献

参考文献3

二级参考文献33

  • 1杨守志,彭立中.基于重数延长法提升加细向量函数的逼近阶[J].中国科学(A辑),2005,35(12):1347-1360. 被引量:3
  • 2杨守志,李尤发.具有高逼近阶和正则性的双向加细函数和双向小波[J].中国科学(A辑),2007,37(7):779-795. 被引量:30
  • 3Ozkaramanli H, Bilgehan B. Construction of multi-wavelets from compactly supported refinable super functions[J]. Digital Signal Processing, 2003(13): 470-494.
  • 4Nelson J D B. A wavelet filter enhancement scheme with a fast integral B-wavelet transform and pyramidal multi-B-wavelet algorithm[J]. Appl Comput Hamon Anal, 2005, 18(3): 234-251.
  • 5Jiang Q T. Parameterization of M-channel orthogonal muhiwavelets banks[J]. Adv Comp Math, 2000, 12(2-3): 189-211.
  • 6Yang S Z. A fast algorithm for constructing orthogonal muhiwavelets[J]. Anziam J, 2004, 46(2): 185-202.
  • 7Lian J A. Orthogonality criteria for multi-scaling functions[J]. Appl Comput Hamon Anal, 1998, 5 (3): 277-311.
  • 8Cabrelli C, Hell C, Molter U. Accuracy of lattice translation of several multidimensional refinable function[J]. J Approx Theory, 1998, 95(1): 50-52.
  • 9Zhou X L Subdivision schemes with nonnegative masks[J]. Math Comp, 2005, 74(250): 819-839.
  • 10Melkman A A. Subdivision schemes with nonnegative masks always converge-unless they obviously cannot[J]. Ann Numer Math, 1997, 4(1-4): 451-460.

共引文献33

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部